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Volumn 101, Issue , 2013, Pages 361-369

New delay-variation-dependent stability for neural networks with time-varying delay

Author keywords

Combined convex technique; Delayed neural networks (DNNs); Global stability; LMI approach; Time varying delay

Indexed keywords

COMBINED CONVEX TECHNIQUE; DELAYED NEURAL NETWORKS; GLOBAL STABILITY; LMI APPROACH; TIME-VARYING DELAY;

EID: 84868625857     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2012.09.004     Document Type: Article
Times cited : (32)

References (33)
  • 1
    • 83555163798 scopus 로고    scopus 로고
    • New stability criteria for neural networks with time-varying delays
    • Hua C.C., Yang X., Guan X.P. New stability criteria for neural networks with time-varying delays. Appl. Math. Comput. 2012, 218(9):5035-5042.
    • (2012) Appl. Math. Comput. , vol.218 , Issue.9 , pp. 5035-5042
    • Hua, C.C.1    Yang, X.2    Guan, X.P.3
  • 2
    • 33646511197 scopus 로고    scopus 로고
    • Global exponential stability of generalized recurrent neural networks with discrete and distributed delays
    • Liu Y.R., Wang Z.D., Liu X.H. Global exponential stability of generalized recurrent neural networks with discrete and distributed delays. Neural Networks 2006, 19(5):667-675.
    • (2006) Neural Networks , vol.19 , Issue.5 , pp. 667-675
    • Liu, Y.R.1    Wang, Z.D.2    Liu, X.H.3
  • 3
    • 84862868271 scopus 로고    scopus 로고
    • Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks
    • Zhu Q.X., Li X.D. Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks. Fuzzy Sets. Syst. 2012, 203(16):74-94.
    • (2012) Fuzzy Sets. Syst. , vol.203 , Issue.16 , pp. 74-94
    • Zhu, Q.X.1    Li, X.D.2
  • 4
    • 80052927945 scopus 로고    scopus 로고
    • New delay-dependent exponential stability criteria for neural networks with discrete and distributed time-varying delays
    • Tian J.K., Zhong S.M. New delay-dependent exponential stability criteria for neural networks with discrete and distributed time-varying delays. Neurocomputing 2011, 74(17):3365-3375.
    • (2011) Neurocomputing , vol.74 , Issue.17 , pp. 3365-3375
    • Tian, J.K.1    Zhong, S.M.2
  • 5
    • 80051546972 scopus 로고    scopus 로고
    • Global asymptotic stability for a class of generalized neural networks with interval time-varying delays
    • Zhang X.M., Han H.Q. Global asymptotic stability for a class of generalized neural networks with interval time-varying delays. IEEE Trans. Neural Networks 2011, 22(8):1180-1192.
    • (2011) IEEE Trans. Neural Networks , vol.22 , Issue.8 , pp. 1180-1192
    • Zhang, X.M.1    Han, H.Q.2
  • 6
    • 77956395373 scopus 로고    scopus 로고
    • Stochastically asymptotic stability of delayed recurrent neural networks with both Markovian jump parameters and nonlinear disturbances
    • Zhu Q.X., Yang Y.S., Wang H.C. Stochastically asymptotic stability of delayed recurrent neural networks with both Markovian jump parameters and nonlinear disturbances. J. Franklin Inst. 2010, 347(8):1489-1510.
    • (2010) J. Franklin Inst. , vol.347 , Issue.8 , pp. 1489-1510
    • Zhu, Q.X.1    Yang, Y.S.2    Wang, H.C.3
  • 7
    • 84865321328 scopus 로고    scopus 로고
    • Stability analysis of Markovian jump stochastic BAM neural networks with impulse control and mixed time delays
    • Zhu Q.X., Cao J.D. Stability analysis of Markovian jump stochastic BAM neural networks with impulse control and mixed time delays. IEEE Trans. Neural Networks Learn. Syst. 2012, 23(3):467-479.
    • (2012) IEEE Trans. Neural Networks Learn. Syst. , vol.23 , Issue.3 , pp. 467-479
    • Zhu, Q.X.1    Cao, J.D.2
  • 8
    • 83855160856 scopus 로고    scopus 로고
    • Delay-slope-dependent stability results of recurrent neural networks
    • Li T., Zheng W.X., Lin C. Delay-slope-dependent stability results of recurrent neural networks. IEEE Trans. Neural Networks 2011, 22(12):2138-2143.
    • (2011) IEEE Trans. Neural Networks , vol.22 , Issue.12 , pp. 2138-2143
    • Li, T.1    Zheng, W.X.2    Lin, C.3
  • 9
    • 76749160268 scopus 로고    scopus 로고
    • A new method for stability analysis of recurrent neural networks with interval time-varying delay
    • Zuo Z.Q., Yang C.L., Wang Y.J. A new method for stability analysis of recurrent neural networks with interval time-varying delay. IEEE Trans. Neural Networks 2010, 21(2):339-344.
    • (2010) IEEE Trans. Neural Networks , vol.21 , Issue.2 , pp. 339-344
    • Zuo, Z.Q.1    Yang, C.L.2    Wang, Y.J.3
  • 10
    • 84860430838 scopus 로고    scopus 로고
    • New approaches on stability criteria for neural networks with interval time-varying delays
    • Kwon O.M., Lee S.M., Park JuH., Cha E.J. New approaches on stability criteria for neural networks with interval time-varying delays. Appl. Math. Comput. 2012, 218(19):9953-9964.
    • (2012) Appl. Math. Comput. , vol.218 , Issue.19 , pp. 9953-9964
    • Kwon, O.M.1    Lee, S.M.2    Park, J.3    Cha, E.J.4
  • 11
    • 79959199278 scopus 로고    scopus 로고
    • Improved delay-dependent stability criterion for neural networks with time-varying delay
    • Tian J.K., Zhong S.M. Improved delay-dependent stability criterion for neural networks with time-varying delay. Appl. Math. Comput. 2011, 217(24):10278-10288.
    • (2011) Appl. Math. Comput. , vol.217 , Issue.24 , pp. 10278-10288
    • Tian, J.K.1    Zhong, S.M.2
  • 12
    • 78649448787 scopus 로고    scopus 로고
    • Exponential stability for stochastic jumping BAM neural networks with time-varying and distributed delays
    • Zhu Q.X., Huang C.X., Yang Y.S. Exponential stability for stochastic jumping BAM neural networks with time-varying and distributed delays. Nonlinear Anal.. Hybrid Syst. 2011, 5(1):52-77.
    • (2011) Nonlinear Anal.. Hybrid Syst. , vol.5 , Issue.1 , pp. 52-77
    • Zhu, Q.X.1    Huang, C.X.2    Yang, Y.S.3
  • 13
    • 84865340277 scopus 로고    scopus 로고
    • Global exponential stability criteria for neural networks with probabilistic delays
    • Mahmoud M.S., Selim S.Z., Shi P. Global exponential stability criteria for neural networks with probabilistic delays. IET Control Theory Appl. 2010, 4(11):2405-2415.
    • (2010) IET Control Theory Appl. , vol.4 , Issue.11 , pp. 2405-2415
    • Mahmoud, M.S.1    Selim, S.Z.2    Shi, P.3
  • 14
    • 84868621160 scopus 로고    scopus 로고
    • Delay-derivative-dependent stability criterion for neural networks with probabilistic time-varying delay
    • available online.
    • G.B. Zhang, T. Wang, T. Li, S.M. Fei, Delay-derivative-dependent stability criterion for neural networks with probabilistic time-varying delay, Int. J. Syst. Sci., 2012, available online.
    • (2012) Int. J. Syst. Sci.
    • Zhang, G.B.1    Wang, T.2    Li, T.3    Fei, S.M.4
  • 15
    • 70350622439 scopus 로고    scopus 로고
    • Delay-probability-distribution-dependent robust stability analysis for stochastic neural networks with time-varying delay
    • Fu J., Zhang H.G., Ma T.D. Delay-probability-distribution-dependent robust stability analysis for stochastic neural networks with time-varying delay. Prog. Nat. Sci. 2009, 19(10):1333-1340.
    • (2009) Prog. Nat. Sci. , vol.19 , Issue.10 , pp. 1333-1340
    • Fu, J.1    Zhang, H.G.2    Ma, T.D.3
  • 16
    • 58549084830 scopus 로고    scopus 로고
    • New stability criteria of neural networks with interval time-varying delay. a piecewise delay method
    • Zhang Y.J., Yue D., Tian E.G. New stability criteria of neural networks with interval time-varying delay. a piecewise delay method. Appl. Math. Comput. 2009, 208(1):249-259.
    • (2009) Appl. Math. Comput. , vol.208 , Issue.1 , pp. 249-259
    • Zhang, Y.J.1    Yue, D.2    Tian, E.G.3
  • 17
    • 40949160176 scopus 로고    scopus 로고
    • A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay
    • James Lam
    • Mou S.S., Gao H.J. A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay. IEEE Trans. Neural Networks 2008, 19(3):532-535. James Lam.
    • (2008) IEEE Trans. Neural Networks , vol.19 , Issue.3 , pp. 532-535
    • Mou, S.S.1    Gao, H.J.2
  • 18
    • 73949132376 scopus 로고    scopus 로고
    • Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay
    • Zhang H.G., Liu Z.W., Huang G.B. Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay. IEEE Trans. Neural Networks 2010, 21(1):91-106.
    • (2010) IEEE Trans. Neural Networks , vol.21 , Issue.1 , pp. 91-106
    • Zhang, H.G.1    Liu, Z.W.2    Huang, G.B.3
  • 19
    • 57749083143 scopus 로고    scopus 로고
    • Improved delay-dependent asymptotical stability criteria for delayed neural networks
    • H Chen W., Zheng W.X. Improved delay-dependent asymptotical stability criteria for delayed neural networks. IEEE Trans. Neural Networks-II 2008, 19(2):2154-2161.
    • (2008) IEEE Trans. Neural Networks-II , vol.19 , Issue.2 , pp. 2154-2161
    • H Chen, W.1    Zheng, W.X.2
  • 20
    • 77955515916 scopus 로고    scopus 로고
    • Delay-derivative-dependent stability for delayed neural networks with unbounded distributed delay
    • Li T., Song A.G., Fei S.M., Wang T. Delay-derivative-dependent stability for delayed neural networks with unbounded distributed delay. IEEE Trans. Neural Networks 2010, 21(8):1365-1371.
    • (2010) IEEE Trans. Neural Networks , vol.21 , Issue.8 , pp. 1365-1371
    • Li, T.1    Song, A.G.2    Fei, S.M.3    Wang, T.4
  • 21
    • 79951511542 scopus 로고    scopus 로고
    • Stability analysis on delayed neural networks based on an improved delay-partitioning approach
    • Li T., Song A.G., Xue M.X., Zhang H.T. Stability analysis on delayed neural networks based on an improved delay-partitioning approach. J. Comput. Appl. Math. 2011, 235(9):3086-3095.
    • (2011) J. Comput. Appl. Math. , vol.235 , Issue.9 , pp. 3086-3095
    • Li, T.1    Song, A.G.2    Xue, M.X.3    Zhang, H.T.4
  • 22
    • 79955847145 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with two additive time-varying delay components
    • Shao H.Y., Han Q.L. New delay-dependent stability criteria for neural networks with two additive time-varying delay components. IEEE Trans. Neural Networks 2011, 22(5):812-818.
    • (2011) IEEE Trans. Neural Networks , vol.22 , Issue.5 , pp. 812-818
    • Shao, H.Y.1    Han, Q.L.2
  • 23
    • 80955142654 scopus 로고    scopus 로고
    • Improved delay-dependent stability criteria for neural networks with two additive time-varying delay components
    • Tian J.K., Zhong S.M. Improved delay-dependent stability criteria for neural networks with two additive time-varying delay components. Neurocomputing 2012, 77(3):114-119.
    • (2012) Neurocomputing , vol.77 , Issue.3 , pp. 114-119
    • Tian, J.K.1    Zhong, S.M.2
  • 24
    • 84855651256 scopus 로고    scopus 로고
    • Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with Markovian jumping parameters
    • Li X.D., Rakkiyappan R. Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with Markovian jumping parameters. Appl. Math. Model. 2012, 36(4):1718-1730.
    • (2012) Appl. Math. Model. , vol.36 , Issue.4 , pp. 1718-1730
    • Li, X.D.1    Rakkiyappan, R.2
  • 25
    • 84863440891 scopus 로고    scopus 로고
    • Stability analysis for a class of neutral-type neural networks with Markovian jumping parameters and mode-dependent mixed delays
    • available online.
    • Y.R. Liu, Z.D. Wang, X.H. Liu, Stability analysis for a class of neutral-type neural networks with Markovian jumping parameters and mode-dependent mixed delays, Neurocomputing, 2012, available online.
    • (2012) Neurocomputing.
    • Liu, Y.R.1    Wang, Z.D.2    Liu, X.H.3
  • 26
    • 36849036837 scopus 로고    scopus 로고
    • An LMI approach to stability analysis of stochastic high-order Markovian jumping neural networks with mixed time delays
    • Liu Y.R., Wang Z.D., Liu X.H. An LMI approach to stability analysis of stochastic high-order Markovian jumping neural networks with mixed time delays. Nonlinear Anal.. Hybrid Syst. 2008, 2(1):110-120.
    • (2008) Nonlinear Anal.. Hybrid Syst. , vol.2 , Issue.1 , pp. 110-120
    • Liu, Y.R.1    Wang, Z.D.2    Liu, X.H.3
  • 27
    • 77955510720 scopus 로고    scopus 로고
    • Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays
    • Zhu Q.X., Cao J.D. Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Networks 2010, 21(8):1314-1325.
    • (2010) IEEE Trans. Neural Networks , vol.21 , Issue.8 , pp. 1314-1325
    • Zhu, Q.X.1    Cao, J.D.2
  • 28
    • 79952006906 scopus 로고    scopus 로고
    • Exponential stability of stochastic neural networks with both Markovian jump parameters and mixed time delays
    • Zhu Q.X., Cao J.D. Exponential stability of stochastic neural networks with both Markovian jump parameters and mixed time delays. IEEE Trans. Syst. Man Cyber. Part B 2011, 41(2):341-353.
    • (2011) IEEE Trans. Syst. Man Cyber. Part B , vol.41 , Issue.2 , pp. 341-353
    • Zhu, Q.X.1    Cao, J.D.2
  • 29
    • 68949212851 scopus 로고    scopus 로고
    • Stability analysis of discrete-time recurrent neural networks with stochastic delay
    • Zhao Y., Gao H.J., James L., Chen K. Stability analysis of discrete-time recurrent neural networks with stochastic delay. IEEE Trans. Neural Networks 2009, 20(8):1330-1339.
    • (2009) IEEE Trans. Neural Networks , vol.20 , Issue.8 , pp. 1330-1339
    • Zhao, Y.1    Gao, H.J.2    James, L.3    Chen, K.4
  • 30
    • 78649670282 scopus 로고    scopus 로고
    • Delay-distribution-dependent state estimation for discrete-time stochastic neural networks with random delay
    • Bao H.B., Cao J.D. Delay-distribution-dependent state estimation for discrete-time stochastic neural networks with random delay. Neural Networks 2011, 24(1):19-28.
    • (2011) Neural Networks , vol.24 , Issue.1 , pp. 19-28
    • Bao, H.B.1    Cao, J.D.2
  • 31
    • 70349850642 scopus 로고    scopus 로고
    • New conditions for delay-derivative-dependent stability
    • Fridman E., Shaked U., Liu K. New conditions for delay-derivative-dependent stability. Automatica 2009, 45(11):2723-2727.
    • (2009) Automatica , vol.45 , Issue.11 , pp. 2723-2727
    • Fridman, E.1    Shaked, U.2    Liu, K.3
  • 32
    • 78650807125 scopus 로고    scopus 로고
    • Reciprocally convex approach to stability of systems with time-varying delays
    • Park PooGyeon, Wan Ko Jeong, Jeong Changki Reciprocally convex approach to stability of systems with time-varying delays. Automatica 2011, 47(1):235-238.
    • (2011) Automatica , vol.47 , Issue.1 , pp. 235-238
    • Park, P.1    Wan Ko, J.2    Jeong, C.3
  • 33
    • 64049098860 scopus 로고    scopus 로고
    • Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay
    • Yue D., Tian E.G., Zhang Y.J., Peng C. Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay. IEEE Trans. Syst. Man Cyber. Part B 2009, 39(2):503-516.
    • (2009) IEEE Trans. Syst. Man Cyber. Part B , vol.39 , Issue.2 , pp. 503-516
    • Yue, D.1    Tian, E.G.2    Zhang, Y.J.3    Peng, C.4


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